4007007370368 has 128 divisors (see below), whose sum is σ = 12521898216000. Its totient is φ = 1257100333056.

The previous prime is 4007007370367. The next prime is 4007007370369. The reversal of 4007007370368 is 8630737007004.

It is an interprime number because it is at equal distance from previous prime (4007007370367) and next prime (4007007370369).

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

It is a super-2 number, since 2×4007007370368² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4007007370367) 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, 34042278 + ... + 34159781.

Almost surely, 2^{4007007370368} is an apocalyptic number.

4007007370368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4007007370368 is an abundant number, since it is smaller than the sum of its proper divisors (8514890845632).

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

4007007370368 is a wasteful number, since it uses less digits than its factorization.

4007007370368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68202099 (or 68202081 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 4007007370368 in words is "four trillion, seven billion, seven million, three hundred seventy thousand, three hundred sixty-eight".