40465094651424 has 384 divisors, whose sum is σ = 120184495200000. Its totient is φ = 13243195367424.

The previous prime is 40465094651347. The next prime is 40465094651467. The reversal of 40465094651424 is 42415649056404.

40465094651424 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 509 + 46 + 51 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14719931202 + ... + 14719933950.

It is an arithmetic number, because the mean of its divisors is an integer number (312980456250).

Almost surely, 2^{40465094651424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40465094651424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60092247600000).

40465094651424 is an abundant number, since it is smaller than the sum of its proper divisors (79719400548576).

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

40465094651424 is a wasteful number, since it uses less digits than its factorization.

40465094651424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 40465094651424 in words is "forty trillion, four hundred sixty-five billion, ninety-four million, six hundred fifty-one thousand, four hundred twenty-four".