40445509440 has 672 divisors, whose sum is σ = 155803665024. Its totient is φ = 8856207360.

The previous prime is 40445509409. The next prime is 40445509463. The reversal of 40445509440 is 4490554404.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×40445509440² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129218724 + ... + 129219036.

It is an arithmetic number, because the mean of its divisors is an integer number (231850692).

Almost surely, 2^40445509440 is an apocalyptic number.

40445509440 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 40445509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77901832512).

40445509440 is an abundant number, since it is smaller than the sum of its proper divisors (115358155584).

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

40445509440 is a wasteful number, since it uses less digits than its factorization.

40445509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 40445509440 in words is "forty billion, four hundred forty-five million, five hundred nine thousand, four hundred forty".