406997136000 has 3840 divisors, whose sum is σ = 2074181709600. Its totient is φ = 78033715200.

The previous prime is 406997135947. The next prime is 406997136041. The reversal of 406997136000 is 631799604.

It can be written as a sum of positive squares in 16 ways, for example, as 24568681536 + 382428454464 = 156744^2 + 618408^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14034383986 + ... + 14034384014.

Almost surely, 2^406997136000 is an apocalyptic number.

406997136000 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 406997136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037090854800).

406997136000 is an abundant number, since it is smaller than the sum of its proper divisors (1667184573600).

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

406997136000 is a wasteful number, since it uses less digits than its factorization.

406997136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 406997136000 in words is "four hundred six billion, nine hundred ninety-seven million, one hundred thirty-six thousand".