40454436000 has 192 divisors, whose sum is σ = 144577270656. Its totient is φ = 9807104000.

The previous prime is 40454435953. The next prime is 40454436031. The reversal of 40454436000 is 63445404.

It is a super-2 number, since 2×40454436000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21237 + ... + 285236.

It is an arithmetic number, because the mean of its divisors is an integer number (753006618).

Almost surely, 2^40454436000 is an apocalyptic number.

40454436000 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 40454436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72288635328).

40454436000 is an abundant number, since it is smaller than the sum of its proper divisors (104122834656).

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

40454436000 is a wasteful number, since it uses less digits than its factorization.

40454436000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306512 (or 306494 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 40454436000 in words is "forty billion, four hundred fifty-four million, four hundred thirty-six thousand".