18465935040 has 448 divisors, whose sum is σ = 75211960320. Its totient is φ = 4177612800.

The previous prime is 18465935029. The next prime is 18465935053. The reversal of 18465935040 is 4053956481.

18465935040 is a `hidden beast` number, since 1 + 8 + 4 + 6 + 593 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 6106969 + ... + 6109991.

It is an arithmetic number, because the mean of its divisors is an integer number (167883840).

Almost surely, 2^18465935040 is an apocalyptic number.

18465935040 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 18465935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37605980160).

18465935040 is an abundant number, since it is smaller than the sum of its proper divisors (56746025280).

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

18465935040 is a wasteful number, since it uses less digits than its factorization.

18465935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 18465935040 in words is "eighteen billion, four hundred sixty-five million, nine hundred thirty-five thousand, forty".