15400644480 has 512 divisors, whose sum is σ = 59222016000. Its totient is φ = 3759906816.

The previous prime is 15400644433. The next prime is 15400644527. The reversal of 15400644480 is 8444600451.

It is a happy number.

15400644480 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 0 + 644 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (15400644433) and next prime (15400644527).

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 63 ways as a sum of consecutive naturals, for example, 40210369 + ... + 40210751.

It is an arithmetic number, because the mean of its divisors is an integer number (115668000).

Almost surely, 2^15400644480 is an apocalyptic number.

15400644480 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 15400644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29611008000).

15400644480 is an abundant number, since it is smaller than the sum of its proper divisors (43821371520).

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

15400644480 is a wasteful number, since it uses less digits than its factorization.

15400644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 15400644480 in words is "fifteen billion, four hundred million, six hundred forty-four thousand, four hundred eighty".