16479133440 has 288 divisors, whose sum is σ = 65618090496. Its totient is φ = 3424174080.

The previous prime is 16479133421. The next prime is 16479133459. The reversal of 16479133440 is 4433197461.

It is an interprime number because it is at equal distance from previous prime (16479133421) and next prime (16479133459).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16479133392 and 16479133401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267814 + ... + 323546.

It is an arithmetic number, because the mean of its divisors is an integer number (227840592).

Almost surely, 2^16479133440 is an apocalyptic number.

16479133440 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 16479133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32809045248).

16479133440 is an abundant number, since it is smaller than the sum of its proper divisors (49138957056).

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

16479133440 is a wasteful number, since it uses less digits than its factorization.

16479133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55775 (or 55761 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 16479133440 in words is "sixteen billion, four hundred seventy-nine million, one hundred thirty-three thousand, four hundred forty".