406211516523400 has 48 divisors (see below), whose sum is σ = 1079362029623040. Its totient is φ = 139272519950400.

The previous prime is 406211516523377. The next prime is 406211516523431. The reversal of 406211516523400 is 4325615112604.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145075540216 + ... + 145075543015.

It is an arithmetic number, because the mean of its divisors is an integer number (22486708950480).

Almost surely, 2^{406211516523400} is an apocalyptic number.

406211516523400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406211516523400 is an abundant number, since it is smaller than the sum of its proper divisors (673150513099640).

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

406211516523400 is a wasteful number, since it uses less digits than its factorization.

406211516523400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290151083254 (or 290151083245 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 406211516523400 in words is "four hundred six trillion, two hundred eleven billion, five hundred sixteen million, five hundred twenty-three thousand, four hundred".