406950697359360 has 3456 divisors, whose sum is σ = 1818171420549120. Its totient is φ = 83235962880000.

The previous prime is 406950697359341. The next prime is 406950697359361. The reversal of 406950697359360 is 63953796059604.

406950697359360 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 506 + 9 + 7 + 3 + 59 + 3 + 60 = 666.

It is a super-6 number, since 6×406950697359360⁶ (a number of 89 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406950697359361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1583465748352 + ... + 1583465748608.

It is an arithmetic number, because the mean of its divisors is an integer number (526091267520).

Almost surely, 2^{406950697359360} is an apocalyptic number.

406950697359360 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 406950697359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909085710274560).

406950697359360 is an abundant number, since it is smaller than the sum of its proper divisors (1411220723189760).

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

406950697359360 is a wasteful number, since it uses less digits than its factorization.

406950697359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 992023200, while the sum is 72.

The spelling of 406950697359360 in words is "four hundred six trillion, nine hundred fifty billion, six hundred ninety-seven million, three hundred fifty-nine thousand, three hundred sixty".