1940428929600 has 4032 divisors, whose sum is σ = 9433681920000. Its totient is φ = 375537254400.

The previous prime is 1940428929599. The next prime is 1940428929617. The reversal of 1940428929600 is 69298240491.

1940428929600 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 4 + 2 + 8 + 9 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 62594481585 + ... + 62594481615.

Almost surely, 2^{1940428929600} is an apocalyptic number.

1940428929600 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 1940428929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716840960000).

1940428929600 is an abundant number, since it is smaller than the sum of its proper divisors (7493252990400).

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

1940428929600 is a wasteful number, since it uses less digits than its factorization.

1940428929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1940428929600 in words is "one trillion, nine hundred forty billion, four hundred twenty-eight million, nine hundred twenty-nine thousand, six hundred".