1250753150400 has 1344 divisors, whose sum is σ = 4739029766016. Its totient is φ = 286654464000.

The previous prime is 1250753150357. The next prime is 1250753150419. The reversal of 1250753150400 is 40513570521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6910238310 + ... + 6910238490.

It is an arithmetic number, because the mean of its divisors is an integer number (3526063814).

Almost surely, 2^{1250753150400} is an apocalyptic number.

1250753150400 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 1250753150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369514883008).

1250753150400 is an abundant number, since it is smaller than the sum of its proper divisors (3488276615616).

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

1250753150400 is a wasteful number, since it uses less digits than its factorization.

1250753150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The spelling of 1250753150400 in words is "one trillion, two hundred fifty billion, seven hundred fifty-three million, one hundred fifty thousand, four hundred".