405379054080 has 3360 divisors, whose sum is σ = 2055801420288. Its totient is φ = 75246796800.

The previous prime is 405379054063. The next prime is 405379054127. The reversal of 405379054080 is 80450973504.

405379054080 is a `hidden beast` number, since 405 + 37 + 90 + 54 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 335 ways as a sum of consecutive naturals, for example, 13076743665 + ... + 13076743695.

Almost surely, 2^405379054080 is an apocalyptic number.

405379054080 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 405379054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027900710144).

405379054080 is an abundant number, since it is smaller than the sum of its proper divisors (1650422366208).

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

405379054080 is a wasteful number, since it uses less digits than its factorization.

405379054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 405379054080 in words is "four hundred five billion, three hundred seventy-nine million, fifty-four thousand, eighty".