1250408401920 has 264 divisors, whose sum is σ = 4334314950576. Its totient is φ = 333312786432.

The previous prime is 1250408401897. The next prime is 1250408401967. The reversal of 1250408401920 is 291048040521.

1250408401920 is a `hidden beast` number, since 1 + 25 + 0 + 408 + 40 + 192 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206573614 + ... + 206579666.

Almost surely, 2^{1250408401920} is an apocalyptic number.

1250408401920 is a gapful number since it is divisible by the number (10) 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 1250408401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167157475288).

1250408401920 is an abundant number, since it is smaller than the sum of its proper divisors (3083906548656).

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

1250408401920 is a wasteful number, since it uses less digits than its factorization.

1250408401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10567 (or 10546 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1250408401920 in words is "one trillion, two hundred fifty billion, four hundred eight million, four hundred one thousand, nine hundred twenty".