40442764463640 has 3072 divisors, whose sum is σ = 183947820134400. Its totient is φ = 7804167782400.

The previous prime is 40442764463627. The next prime is 40442764463671. The reversal of 40442764463640 is 4636446724404.

40442764463640 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 276 + 4 + 4 + 6 + 364 + 0 = 666.

It is a super-2 number, since 2×40442764463640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 122183578275 + ... + 122183578605.

It is an arithmetic number, because the mean of its divisors is an integer number (59878847700).

Almost surely, 2^{40442764463640} is an apocalyptic number.

40442764463640 is a gapful number since it is divisible by the number (40) 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 40442764463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91973910067200).

40442764463640 is an abundant number, since it is smaller than the sum of its proper divisors (143505055670760).

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

40442764463640 is a wasteful number, since it uses less digits than its factorization.

40442764463640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 54.

The spelling of 40442764463640 in words is "forty trillion, four hundred forty-two billion, seven hundred sixty-four million, four hundred sixty-three thousand, six hundred forty".