40648093605504 has 1536 divisors, whose sum is σ = 157519987200000. Its totient is φ = 10021244313600.

The previous prime is 40648093605499. The next prime is 40648093605607. The reversal of 40648093605504 is 40550639084604.

40648093605504 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 80 + 9 + 3 + 6 + 0 + 550 + 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 191 ways as a sum of consecutive naturals, for example, 13553880997 + ... + 13553883995.

It is an arithmetic number, because the mean of its divisors is an integer number (102552075000).

Almost surely, 2^{40648093605504} is an apocalyptic number.

40648093605504 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 40648093605504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78759993600000).

40648093605504 is an abundant number, since it is smaller than the sum of its proper divisors (116871893594496).

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

40648093605504 is a wasteful number, since it uses less digits than its factorization.

40648093605504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 40648093605504 in words is "forty trillion, six hundred forty-eight billion, ninety-three million, six hundred five thousand, five hundred four".