406953953280 has 2880 divisors, whose sum is σ = 1952171020800. Its totient is φ = 80263249920.

The previous prime is 406953953269. The next prime is 406953953317. The reversal of 406953953280 is 82359359604.

406953953280 is a `hidden beast` number, since 40 + 69 + 5 + 3 + 9 + 532 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×406953953280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13127546865 + ... + 13127546895.

It is an arithmetic number, because the mean of its divisors is an integer number (677837160).

Almost surely, 2^406953953280 is an apocalyptic number.

406953953280 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 406953953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976085510400).

406953953280 is an abundant number, since it is smaller than the sum of its proper divisors (1545217067520).

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

406953953280 is a wasteful number, since it uses less digits than its factorization.

406953953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 406953953280 in words is "four hundred six billion, nine hundred fifty-three million, nine hundred fifty-three thousand, two hundred eighty".