1892121440 has 48 divisors (see below), whose sum is σ = 4876517520. Its totient is φ = 688043520.

The previous prime is 1892121409. The next prime is 1892121493. The reversal of 1892121440 is 441212981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1892121397 and 1892121406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535775 + ... + 539294.

It is an arithmetic number, because the mean of its divisors is an integer number (101594115).

Almost surely, 2^1892121440 is an apocalyptic number.

1892121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1892121440 is an abundant number, since it is smaller than the sum of its proper divisors (2984396080).

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

1892121440 is a wasteful number, since it uses less digits than its factorization.

1892121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075095 (or 1075087 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1892121440 is about 43498.5222737509. The cubic root of 1892121440 is about 1236.8480127095.

The spelling of 1892121440 in words is "one billion, eight hundred ninety-two million, one hundred twenty-one thousand, four hundred forty".