406155409945740 has 864 divisors, whose sum is σ = 1625324724354240. Its totient is φ = 81148967424000.

The previous prime is 406155409945717. The next prime is 406155409945741. The reversal of 406155409945740 is 47549904551604.

406155409945740 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 5 + 54 + 0 + 9 + 9 + 4 + 574 + 0 = 666.

It is a super-2 number, since 2×406155409945740² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (406155409945741) 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, 5187064590 + ... + 5187142890.

It is an arithmetic number, because the mean of its divisors is an integer number (1881162875410).

Almost surely, 2^{406155409945740} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406155409945740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812662362177120).

406155409945740 is an abundant number, since it is smaller than the sum of its proper divisors (1219169314408500).

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

406155409945740 is a wasteful number, since it uses less digits than its factorization.

406155409945740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80743 (or 80731 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 406155409945740 in words is "four hundred six trillion, one hundred fifty-five billion, four hundred nine million, nine hundred forty-five thousand, seven hundred forty".