1919419920 has 480 divisors, whose sum is σ = 7546017024. Its totient is φ = 432537600.

The previous prime is 1919419907. The next prime is 1919419951. The reversal of 1919419920 is 299149191.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 7468432 + ... + 7468688.

Almost surely, 2^1919419920 is an apocalyptic number.

1919419920 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 1919419920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773008512).

1919419920 is an abundant number, since it is smaller than the sum of its proper divisors (5626597104).

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

1919419920 is a wasteful number, since it uses less digits than its factorization.

1919419920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The square root of 1919419920 is about 43811.1848732718. The cubic root of 1919419920 is about 1242.7678200910.

The spelling of 1919419920 in words is "one billion, nine hundred nineteen million, four hundred nineteen thousand, nine hundred twenty".