10406020361140 has 48 divisors (see below), whose sum is σ = 22223565826560. Its totient is φ = 4091759556480.

The previous prime is 10406020361129. The next prime is 10406020361159. The reversal of 10406020361140 is 4116302060401.

It is a junction number, because it is equal to n+sod(n) for n = 10406020361099 and 10406020361108.

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, 65659834 + ... + 65818126.

It is an arithmetic number, because the mean of its divisors is an integer number (462990954720).

Almost surely, 2^{10406020361140} is an apocalyptic number.

10406020361140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406020361140 is an abundant number, since it is smaller than the sum of its proper divisors (11817545465420).

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

10406020361140 is a wasteful number, since it uses less digits than its factorization.

10406020361140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214072 (or 214070 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10406020361140 in words is "ten trillion, four hundred six billion, twenty million, three hundred sixty-one thousand, one hundred forty".