405076140000 has 1320 divisors, whose sum is σ = 1743222927600. Its totient is φ = 92588832000.

The previous prime is 405076139957. The next prime is 405076140013. The reversal of 405076140000 is 41670504.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

405076140000 is a `hidden beast` number, since 40 + 5 + 0 + 7 + 614 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 9450 × 5670 × 7560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 219 ways as a sum of consecutive naturals, for example, 57868019997 + ... + 57868020003.

It is an arithmetic number, because the mean of its divisors is an integer number (1320623430).

Almost surely, 2^405076140000 is an apocalyptic number.

405076140000 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 405076140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871611463800).

405076140000 is an abundant number, since it is smaller than the sum of its proper divisors (1338146787600).

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

405076140000 is an frugal number, since it uses more digits than its factorization.

405076140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 405076140000 in words is "four hundred five billion, seventy-six million, one hundred forty thousand".