40026861504000 has 1600 divisors, whose sum is σ = 170723335685760. Its totient is φ = 9131537203200.

The previous prime is 40026861503989. The next prime is 40026861504089. The reversal of 40026861504000 is 40516862004.

40026861504000 is a `hidden beast` number, since 4 + 0 + 0 + 26 + 86 + 150 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35453375436 + ... + 35453376564.

Almost surely, 2^{40026861504000} is an apocalyptic number.

40026861504000 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 40026861504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85361667842880).

40026861504000 is an abundant number, since it is smaller than the sum of its proper divisors (130696474181760).

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

40026861504000 is an equidigital number, since it uses as much as digits as its factorization.

40026861504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40026861504000 in words is "forty trillion, twenty-six billion, eight hundred sixty-one million, five hundred four thousand".