402153154560 has 480 divisors, whose sum is σ = 1447003958400. Its totient is φ = 106827448320.

The previous prime is 402153154511. The next prime is 402153154567. The reversal of 402153154560 is 65451351204.

402153154560 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 53 + 1 + 545 + 60 = 666.

402153154560 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402153154567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 257955061 + ... + 257956619.

It is an arithmetic number, because the mean of its divisors is an integer number (3014591580).

Almost surely, 2^402153154560 is an apocalyptic number.

402153154560 is a gapful number since it is divisible by the number (40) 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 402153154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723501979200).

402153154560 is an abundant number, since it is smaller than the sum of its proper divisors (1044850803840).

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

402153154560 is a wasteful number, since it uses less digits than its factorization.

402153154560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 402153154560 in words is "four hundred two billion, one hundred fifty-three million, one hundred fifty-four thousand, five hundred sixty".