15480914240 has 224 divisors, whose sum is σ = 42703943040. Its totient is φ = 5330350080.

The previous prime is 15480914231. The next prime is 15480914249. The reversal of 15480914240 is 4241908451.

It is an interprime number because it is at equal distance from previous prime (15480914231) and next prime (15480914249).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 15480914194 and 15480914203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15480914249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8091524 + ... + 8093436.

Almost surely, 2^15480914240 is an apocalyptic number.

15480914240 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 15480914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21351971520).

15480914240 is an abundant number, since it is smaller than the sum of its proper divisors (27223028800).

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

15480914240 is a wasteful number, since it uses less digits than its factorization.

15480914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 15480914240 in words is "fifteen billion, four hundred eighty million, nine hundred fourteen thousand, two hundred forty".