402455509434000 has 960 divisors, whose sum is σ = 1563012648288000. Its totient is φ = 95684219904000.

The previous prime is 402455509433951. The next prime is 402455509434031. The reversal of 402455509434000 is 434905554204.

402455509434000 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 5 + 550 + 94 + 3 + 4 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30841859476 + ... + 30841872524.

It is an arithmetic number, because the mean of its divisors is an integer number (1628138175300).

Almost surely, 2^{402455509434000} is an apocalyptic number.

402455509434000 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 402455509434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781506324144000).

402455509434000 is an abundant number, since it is smaller than the sum of its proper divisors (1160557138854000).

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

402455509434000 is a wasteful number, since it uses less digits than its factorization.

402455509434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16081 (or 16062 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 402455509434000 in words is "four hundred two trillion, four hundred fifty-five billion, five hundred nine million, four hundred thirty-four thousand".