40414751129984 has 1024 divisors, whose sum is σ = 112565823897600. Its totient is φ = 13973051473920.

The previous prime is 40414751129953. The next prime is 40414751130001. The reversal of 40414751129984 is 48992115741404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54394011917 + ... + 54394012659.

It is an arithmetic number, because the mean of its divisors is an integer number (109927562400).

Almost surely, 2^{40414751129984} is an apocalyptic number.

40414751129984 is a gapful number since it is divisible by the number (44) 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 40414751129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56282911948800).

40414751129984 is an abundant number, since it is smaller than the sum of its proper divisors (72151072767616).

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

40414751129984 is a wasteful number, since it uses less digits than its factorization.

40414751129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 40414751129984 in words is "forty trillion, four hundred fourteen billion, seven hundred fifty-one million, one hundred twenty-nine thousand, nine hundred eighty-four".