1900464225840 has 160 divisors (see below), whose sum is σ = 6556228707840. Its totient is φ = 506001924864.

The previous prime is 1900464225757. The next prime is 1900464225859. The reversal of 1900464225840 is 485224640091.

It is a happy number.

1900464225840 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 4 + 64 + 2 + 2 + 584 + 0 = 666.

It is a super-2 number, since 2×1900464225840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 704709 + ... + 2073051.

It is an arithmetic number, because the mean of its divisors is an integer number (40976429424).

Almost surely, 2^{1900464225840} is an apocalyptic number.

1900464225840 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 1900464225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278114353920).

1900464225840 is an abundant number, since it is smaller than the sum of its proper divisors (4655764482000).

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

1900464225840 is a wasteful number, since it uses less digits than its factorization.

1900464225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369008 (or 1368996 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1900464225840 in words is "one trillion, nine hundred billion, four hundred sixty-four million, two hundred twenty-five thousand, eight hundred forty".