405400146480 has 960 divisors, whose sum is σ = 1763935100928. Its totient is φ = 84383907840.

The previous prime is 405400146479. The next prime is 405400146499. The reversal of 405400146480 is 84641004504.

It is a happy number.

405400146480 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 0 + 0 + 1 + 4 + 648 + 0 = 666.

405400146480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 71711334 + ... + 71716986.

Almost surely, 2^405400146480 is an apocalyptic number.

405400146480 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 405400146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881967550464).

405400146480 is an abundant number, since it is smaller than the sum of its proper divisors (1358534954448).

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

405400146480 is a wasteful number, since it uses less digits than its factorization.

405400146480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 405400146480 in words is "four hundred five billion, four hundred million, one hundred forty-six thousand, four hundred eighty".