406010689920 has 1536 divisors, whose sum is σ = 1758594240000. Its totient is φ = 87535779840.

The previous prime is 406010689919. The next prime is 406010689949. The reversal of 406010689920 is 29986010604.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1043729086 + ... + 1043729474.

It is an arithmetic number, because the mean of its divisors is an integer number (1144918125).

Almost surely, 2^406010689920 is an apocalyptic number.

406010689920 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 406010689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879297120000).

406010689920 is an abundant number, since it is smaller than the sum of its proper divisors (1352583550080).

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

406010689920 is a wasteful number, since it uses less digits than its factorization.

406010689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 406010689920 in words is "four hundred six billion, ten million, six hundred eighty-nine thousand, nine hundred twenty".