40266573984000 has 3456 divisors, whose sum is σ = 194321027496960. Its totient is φ = 8123867136000.

The previous prime is 40266573983981. The next prime is 40266573984047. The reversal of 40266573984000 is 48937566204.

40266573984000 is a `hidden beast` number, since 4 + 0 + 2 + 66 + 573 + 9 + 8 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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, 12658462410 + ... + 12658465590.

It is an arithmetic number, because the mean of its divisors is an integer number (56227149160).

Almost surely, 2^{40266573984000} is an apocalyptic number.

40266573984000 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 40266573984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97160513748480).

40266573984000 is an abundant number, since it is smaller than the sum of its proper divisors (154054453512960).

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

40266573984000 is a wasteful number, since it uses less digits than its factorization.

40266573984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 40266573984000 in words is "forty trillion, two hundred sixty-six billion, five hundred seventy-three million, nine hundred eighty-four thousand".