7151261040 has 1280 divisors, whose sum is σ = 33826406400. Its totient is φ = 1343692800.

The previous prime is 7151261027. The next prime is 7151261053. The reversal of 7151261040 is 401621517.

It is a happy number.

7151261040 is a `hidden beast` number, since 7 + 1 + 5 + 1 + 2 + 610 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7151261027) and next prime (7151261053).

It is a super-2 number, since 2×7151261040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7151260995 and 7151261013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 97962444 + ... + 97962516.

It is an arithmetic number, because the mean of its divisors is an integer number (26426880).

Almost surely, 2^7151261040 is an apocalyptic number.

7151261040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7151261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16913203200).

7151261040 is an abundant number, since it is smaller than the sum of its proper divisors (26675145360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7151261040 is a wasteful number, since it uses less digits than its factorization.

7151261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 7151261040 is about 84565.1289835237. The cubic root of 7151261040 is about 1926.6117756472.

Adding to 7151261040 its reverse (401621517), we get a palindrome (7552882557).

The spelling of 7151261040 in words is "seven billion, one hundred fifty-one million, two hundred sixty-one thousand, forty".