406156041408 has 224 divisors, whose sum is σ = 1184270383296. Its totient is φ = 122077642752.

The previous prime is 406156041391. The next prime is 406156041427. The reversal of 406156041408 is 804140651604.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30816516 + ... + 30829692.

It is an arithmetic number, because the mean of its divisors is an integer number (5286921354).

Almost surely, 2^406156041408 is an apocalyptic number.

406156041408 is a gapful number since it is divisible by the number (48) 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 406156041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592135191648).

406156041408 is an abundant number, since it is smaller than the sum of its proper divisors (778114341888).

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

406156041408 is a wasteful number, since it uses less digits than its factorization.

406156041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13491 (or 13481 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 406156041408 in words is "four hundred six billion, one hundred fifty-six million, forty-one thousand, four hundred eight".