1940576400 has 720 divisors, whose sum is σ = 8501390400. Its totient is φ = 418037760.

The previous prime is 1940576399. The next prime is 1940576413. The reversal of 1940576400 is 46750491.

1940576400 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 5 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10054704 + ... + 10054896.

Almost surely, 2^1940576400 is an apocalyptic number.

1940576400 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 1940576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250695200).

1940576400 is an abundant number, since it is smaller than the sum of its proper divisors (6560814000).

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

1940576400 is a wasteful number, since it uses less digits than its factorization.

1940576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1940576400 is about 44051.9738490797. The cubic root of 1940576400 is about 1247.3172115696.

The spelling of 1940576400 in words is "one billion, nine hundred forty million, five hundred seventy-six thousand, four hundred".