40114388452320 has 1728 divisors, whose sum is σ = 185161527742464. Its totient is φ = 7708695920640.

The previous prime is 40114388452217. The next prime is 40114388452349. The reversal of 40114388452320 is 2325488341104.

40114388452320 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 43 + 8 + 84 + 523 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 897732699 + ... + 897777381.

It is an arithmetic number, because the mean of its divisors is an integer number (107153661888).

Almost surely, 2^{40114388452320} is an apocalyptic number.

40114388452320 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 40114388452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92580763871232).

40114388452320 is an abundant number, since it is smaller than the sum of its proper divisors (145047139290144).

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

40114388452320 is a wasteful number, since it uses less digits than its factorization.

40114388452320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44785 (or 44761 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 40114388452320 in words is "forty trillion, one hundred fourteen billion, three hundred eighty-eight million, four hundred fifty-two thousand, three hundred twenty".