940090201981128 has 384 divisors, whose sum is σ = 2927572804316160. Its totient is φ = 269897741568000.

The previous prime is 940090201981109. The next prime is 940090201981141. The reversal of 940090201981128 is 821189102090049.

940090201981128 is a `hidden beast` number, since 9 + 400 + 9 + 0 + 20 + 1 + 98 + 1 + 128 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 599095450 + ... + 600662582.

It is an arithmetic number, because the mean of its divisors is an integer number (7623887511240).

Almost surely, 2^{940090201981128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940090201981128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463786402158080).

940090201981128 is an abundant number, since it is smaller than the sum of its proper divisors (1987482602335032).

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

940090201981128 is a wasteful number, since it uses less digits than its factorization.

940090201981128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567701 (or 1567694 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 940090201981128 in words is "nine hundred forty trillion, ninety billion, two hundred one million, nine hundred eighty-one thousand, one hundred twenty-eight".