40455420499872 has 1728 divisors, whose sum is σ = 149961391856640. Its totient is φ = 10271187763200.

The previous prime is 40455420499867. The next prime is 40455420499919. The reversal of 40455420499872 is 27899402455404.

It is a happy number.

40455420499872 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 54 + 20 + 499 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37013192958 + ... + 37013194050.

It is an arithmetic number, because the mean of its divisors is an integer number (86783212880).

Almost surely, 2^{40455420499872} is an apocalyptic number.

40455420499872 is a gapful number since it is divisible by the number (42) 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 40455420499872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74980695928320).

40455420499872 is an abundant number, since it is smaller than the sum of its proper divisors (109505971356768).

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

40455420499872 is a wasteful number, since it uses less digits than its factorization.

40455420499872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 40455420499872 in words is "forty trillion, four hundred fifty-five billion, four hundred twenty million, four hundred ninety-nine thousand, eight hundred seventy-two".