1451134440 has 320 divisors, whose sum is σ = 5634921600. Its totient is φ = 328084992.

The previous prime is 1451134439. The next prime is 1451134457. The reversal of 1451134440 is 444311541.

It is a super-2 number, since 2×1451134440² = 4211582325908227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2471827 + ... + 2472413.

It is an arithmetic number, because the mean of its divisors is an integer number (17609130).

Almost surely, 2^1451134440 is an apocalyptic number.

1451134440 is a gapful number since it is divisible by the number (10) 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 1451134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817460800).

1451134440 is an abundant number, since it is smaller than the sum of its proper divisors (4183787160).

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

1451134440 is a wasteful number, since it uses less digits than its factorization.

1451134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1451134440 is about 38093.7585438875. The cubic root of 1451134440 is about 1132.1462954012.

Adding to 1451134440 its reverse (444311541), we get a palindrome (1895445981).

The spelling of 1451134440 in words is "one billion, four hundred fifty-one million, one hundred thirty-four thousand, four hundred forty".