1918032480 has 1152 divisors, whose sum is σ = 9121714560. Its totient is φ = 371589120.

The previous prime is 1918032461. The next prime is 1918032499. The reversal of 1918032480 is 842308191.

It is an interprime number because it is at equal distance from previous prime (1918032461) and next prime (1918032499).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46781260 + ... + 46781300.

It is an arithmetic number, because the mean of its divisors is an integer number (7918155).

Almost surely, 2^1918032480 is an apocalyptic number.

1918032480 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 1918032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560857280).

1918032480 is an abundant number, since it is smaller than the sum of its proper divisors (7203682080).

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

1918032480 is a wasteful number, since it uses less digits than its factorization.

1918032480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1918032480 is about 43795.3476981289. The cubic root of 1918032480 is about 1242.4683057445.

The spelling of 1918032480 in words is "one billion, nine hundred eighteen million, thirty-two thousand, four hundred eighty".