16353217440 has 192 divisors, whose sum is σ = 65412990720. Its totient is φ = 3737871360.

The previous prime is 16353217423. The next prime is 16353217453. The reversal of 16353217440 is 4471235361.

16353217440 is a `hidden beast` number, since 1 + 635 + 3 + 2 + 17 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16353217395 and 16353217404.

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, 240151 + ... + 300630.

It is an arithmetic number, because the mean of its divisors is an integer number (340692660).

Almost surely, 2^16353217440 is an apocalyptic number.

16353217440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16353217440 is an abundant number, since it is smaller than the sum of its proper divisors (49059773280).

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

16353217440 is a wasteful number, since it uses less digits than its factorization.

16353217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540812 (or 540798 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 16353217440 in words is "sixteen billion, three hundred fifty-three million, two hundred seventeen thousand, four hundred forty".