9400815452160 has 2432 divisors, whose sum is σ = 40587363532800. Its totient is φ = 2038431744000.

The previous prime is 9400815452153. The next prime is 9400815452167. The reversal of 9400815452160 is 612545180049.

9400815452160 is a `hidden beast` number, since 9 + 4 + 0 + 0 + 81 + 545 + 21 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9400815452153) and next prime (9400815452167).

It is a tau number, because it is divible by the number of its divisors (2432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9400815452167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229288181740 + ... + 229288181780.

Almost surely, 2^{9400815452160} is an apocalyptic number.

9400815452160 is a gapful number since it is divisible by the number (90) 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 9400815452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20293681766400).

9400815452160 is an abundant number, since it is smaller than the sum of its proper divisors (31186548080640).

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

9400815452160 is a wasteful number, since it uses less digits than its factorization.

9400815452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 9400815452160 in words is "nine trillion, four hundred billion, eight hundred fifteen million, four hundred fifty-two thousand, one hundred sixty".