405698735040 has 224 divisors, whose sum is σ = 1294141907520. Its totient is φ = 107679744000.

The previous prime is 405698735023. The next prime is 405698735069. The reversal of 405698735040 is 40537896504.

It is a super-2 number, since 2×405698735040² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225262140 + ... + 225263940.

It is an arithmetic number, because the mean of its divisors is an integer number (5777419230).

Almost surely, 2^405698735040 is an apocalyptic number.

405698735040 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 405698735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647070953760).

405698735040 is an abundant number, since it is smaller than the sum of its proper divisors (888443172480).

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

405698735040 is a wasteful number, since it uses less digits than its factorization.

405698735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 405698735040 in words is "four hundred five billion, six hundred ninety-eight million, seven hundred thirty-five thousand, forty".