40264193249280 has 4992 divisors, whose sum is σ = 205567731532800. Its totient is φ = 7250022236160.

The previous prime is 40264193249227. The next prime is 40264193249359. The reversal of 40264193249280 is 8294239146204.

40264193249280 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 41 + 9 + 32 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

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 383 ways as a sum of consecutive naturals, for example, 103506923326 + ... + 103506923714.

It is an arithmetic number, because the mean of its divisors is an integer number (41179433400).

Almost surely, 2^{40264193249280} is an apocalyptic number.

40264193249280 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 40264193249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102783865766400).

40264193249280 is an abundant number, since it is smaller than the sum of its proper divisors (165303538283520).

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

40264193249280 is a wasteful number, since it uses less digits than its factorization.

40264193249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 40264193249280 in words is "forty trillion, two hundred sixty-four billion, one hundred ninety-three million, two hundred forty-nine thousand, two hundred eighty".