4000923140400 has 180 divisors, whose sum is σ = 14021784401040. Its totient is φ = 1056349248000.

The previous prime is 4000923140387. The next prime is 4000923140407. The reversal of 4000923140400 is 40413290004.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×4000923140400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4000923140407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5138220 + ... + 5865419.

It is an arithmetic number, because the mean of its divisors is an integer number (77898802228).

Almost surely, 2^{4000923140400} is an apocalyptic number.

4000923140400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000923140400 is an abundant number, since it is smaller than the sum of its proper divisors (10020861260640).

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

4000923140400 is a wasteful number, since it uses less digits than its factorization.

4000923140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11003764 (or 11003750 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 4000923140400 in words is "four trillion, nine hundred twenty-three million, one hundred forty thousand, four hundred".