40462444426404 has 384 divisors, whose sum is σ = 132645984694272. Its totient is φ = 9260987074560.

The previous prime is 40462444426361. The next prime is 40462444426421.

It is a happy number.

40462444426404 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22696659 + ... + 24414405.

It is an arithmetic number, because the mean of its divisors is an integer number (345432251808).

Almost surely, 2^{40462444426404} is an apocalyptic number.

40462444426404 is a gapful number since it is divisible by the number (44) 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 40462444426404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66322992347136).

40462444426404 is an abundant number, since it is smaller than the sum of its proper divisors (92183540267868).

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

40462444426404 is a wasteful number, since it uses less digits than its factorization.

40462444426404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717875 (or 1717873 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 48.

The spelling of 40462444426404 in words is "forty trillion, four hundred sixty-two billion, four hundred forty-four million, four hundred twenty-six thousand, four hundred four".