4016840040000 has 210 divisors, whose sum is σ = 14387329260590. Its totient is φ = 1071157248000.

The previous prime is 4016840039987. The next prime is 4016840040113. The reversal of 4016840040000 is 400486104.

It can be written as a sum of positive squares in 5 ways, for example, as 1054696136256 + 2962143903744 = 1026984^2 + 1721088^2 .

It is a super-2 number, since 2×4016840040000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5218945 + ... + 5938944.

Almost surely, 2^{4016840040000} is an apocalyptic number.

4016840040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4016840040000 is an abundant number, since it is smaller than the sum of its proper divisors (10370489220590).

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

4016840040000 is a wasteful number, since it uses less digits than its factorization.

4016840040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11157927 (or 11157899 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 4016840040000 in words is "four trillion, sixteen billion, eight hundred forty million, forty thousand".