4013293440 has 128 divisors (see below), whose sum is σ = 13776487200. Its totient is φ = 987881472.

The previous prime is 4013293429. The next prime is 4013293447. The reversal of 4013293440 is 443923104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4013293440² = 32213048471094067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4013293398 and 4013293407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013293447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55435 + ... + 105354.

Almost surely, 2^4013293440 is an apocalyptic number.

4013293440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013293440 is an abundant number, since it is smaller than the sum of its proper divisors (9763193760).

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

4013293440 is a wasteful number, since it uses less digits than its factorization.

4013293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160824 (or 160812 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4013293440 is about 63350.5599028138. The cubic root of 4013293440 is about 1589.1576092322.

The spelling of 4013293440 in words is "four billion, thirteen million, two hundred ninety-three thousand, four hundred forty".