40453719841920 has 512 divisors, whose sum is σ = 161526173276160. Its totient is φ = 8366122598400.

The previous prime is 40453719841919. The next prime is 40453719841921. The reversal of 40453719841920 is 2914891735404.

It is an interprime number because it is at equal distance from previous prime (40453719841919) and next prime (40453719841921).

It is not an unprimeable number, because it can be changed into a prime (40453719841921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30545824 + ... + 31842656.

It is an arithmetic number, because the mean of its divisors is an integer number (315480807180).

Almost surely, 2^{40453719841920} is an apocalyptic number.

40453719841920 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 40453719841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80763086638080).

40453719841920 is an abundant number, since it is smaller than the sum of its proper divisors (121072453434240).

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

40453719841920 is a wasteful number, since it uses less digits than its factorization.

40453719841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297084 (or 1297072 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 40453719841920 in words is "forty trillion, four hundred fifty-three billion, seven hundred nineteen million, eight hundred forty-one thousand, nine hundred twenty".