1940400672 has 192 divisors, whose sum is σ = 6377253120. Its totient is φ = 503709696.

The previous prime is 1940400659. The next prime is 1940400703. The reversal of 1940400672 is 2760040491.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328368 + ... + 334224.

It is an arithmetic number, because the mean of its divisors is an integer number (33214860).

Almost surely, 2^1940400672 is an apocalyptic number.

1940400672 is a gapful number since it is divisible by the number (12) 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 1940400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188626560).

1940400672 is an abundant number, since it is smaller than the sum of its proper divisors (4436852448).

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

1940400672 is a wasteful number, since it uses less digits than its factorization.

1940400672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1940400672 is about 44049.9792508464. The cubic root of 1940400672 is about 1247.2795603550.

The spelling of 1940400672 in words is "one billion, nine hundred forty million, four hundred thousand, six hundred seventy-two".