406088541120 has 112 divisors (see below), whose sum is σ = 1305652008960. Its totient is φ = 106919494656.

The previous prime is 406088541113. The next prime is 406088541143. The reversal of 406088541120 is 21145880604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2601432 + ... + 2753111.

Almost surely, 2^406088541120 is an apocalyptic number.

406088541120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406088541120 is an abundant number, since it is smaller than the sum of its proper divisors (899563467840).

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

406088541120 is a wasteful number, since it uses less digits than its factorization.

406088541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354642 (or 5354632 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 406088541120 in words is "four hundred six billion, eighty-eight million, five hundred forty-one thousand, one hundred twenty".