406906752000 has 352 divisors, whose sum is σ = 1546895301120. Its totient is φ = 93006643200.

The previous prime is 406906751983. The next prime is 406906752001. The reversal of 406906752000 is 257609604.

It is a self number, because there is not a number n which added to its sum of digits gives 406906752000.

It is not an unprimeable number, because it can be changed into a prime (406906752001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2612311 + ... + 2763689.

Almost surely, 2^406906752000 is an apocalyptic number.

406906752000 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 406906752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773447650560).

406906752000 is an abundant number, since it is smaller than the sum of its proper divisors (1139988549120).

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

406906752000 is a wasteful number, since it uses less digits than its factorization.

406906752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151424 (or 151396 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 406906752000 in words is "four hundred six billion, nine hundred six million, seven hundred fifty-two thousand".