4012957440 has 432 divisors, whose sum is σ = 15198333696. Its totient is φ = 973209600.

The previous prime is 4012957439. The next prime is 4012957477. The reversal of 4012957440 is 447592104.

It is a happy number.

4012957440 is a `hidden beast` number, since 40 + 1 + 2 + 9 + 574 + 40 = 666.

4012957440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4012957440² = 32207654830502707200, which 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 = 4012957395 and 4012957404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6070710 + ... + 6071370.

It is an arithmetic number, because the mean of its divisors is an integer number (35181328).

Almost surely, 2^4012957440 is an apocalyptic number.

4012957440 is a gapful number since it is divisible by the number (40) 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 4012957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599166848).

4012957440 is an abundant number, since it is smaller than the sum of its proper divisors (11185376256).

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

4012957440 is a wasteful number, since it uses less digits than its factorization.

4012957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4012957440 is about 63347.9079370424. The cubic root of 4012957440 is about 1589.1132589692.

The spelling of 4012957440 in words is "four billion, twelve million, nine hundred fifty-seven thousand, four hundred forty".