7151279040 has 336 divisors, whose sum is σ = 25582205376. Its totient is φ = 1832140800.

The previous prime is 7151279039. The next prime is 7151279053. The reversal of 7151279040 is 409721517.

It is a happy number.

7151279040 is a `hidden beast` number, since 71 + 512 + 79 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×7151279040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7151278986 and 7151279004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8383254 + ... + 8384106.

It is an arithmetic number, because the mean of its divisors is an integer number (76137516).

Almost surely, 2^7151279040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7151279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791102688).

7151279040 is an abundant number, since it is smaller than the sum of its proper divisors (18430926336).

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

7151279040 is a wasteful number, since it uses less digits than its factorization.

7151279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 7151279040 is about 84565.2354103032. The cubic root of 7151279040 is about 1926.6133920979.

The spelling of 7151279040 in words is "seven billion, one hundred fifty-one million, two hundred seventy-nine thousand, forty".