40464123920640 has 2592 divisors, whose sum is σ = 178351527594240. Its totient is φ = 8740667916288.

The previous prime is 40464123920593. The next prime is 40464123920687. The reversal of 40464123920640 is 4602932146404.

40464123920640 is a `hidden beast` number, since 4 + 0 + 464 + 123 + 9 + 2 + 0 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40464123920593) and next prime (40464123920687).

It is a tau number, because it is divible by the number of its divisors (2592).

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

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, 31198244472 + ... + 31198245768.

It is an arithmetic number, because the mean of its divisors is an integer number (68808459720).

Almost surely, 2^{40464123920640} is an apocalyptic number.

40464123920640 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 40464123920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89175763797120).

40464123920640 is an abundant number, since it is smaller than the sum of its proper divisors (137887403673600).

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

40464123920640 is a wasteful number, since it uses less digits than its factorization.

40464123920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 40464123920640 in words is "forty trillion, four hundred sixty-four billion, one hundred twenty-three million, nine hundred twenty thousand, six hundred forty".