15416555440 has 320 divisors, whose sum is σ = 44997120000. Its totient is φ = 4831948800.

The previous prime is 15416555431. The next prime is 15416555461. The reversal of 15416555440 is 4455561451.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 15416555393 and 15416555402.

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, 10283811 + ... + 10285309.

It is an arithmetic number, because the mean of its divisors is an integer number (140616000).

Almost surely, 2^15416555440 is an apocalyptic number.

15416555440 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 15416555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560000).

15416555440 is an abundant number, since it is smaller than the sum of its proper divisors (29580564560).

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

15416555440 is a wasteful number, since it uses less digits than its factorization.

15416555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 15416555440 in words is "fifteen billion, four hundred sixteen million, five hundred fifty-five thousand, four hundred forty".