35620440145920 has 3456 divisors, whose sum is σ = 162024256648800. Its totient is φ = 7464482242560.

The previous prime is 35620440145903. The next prime is 35620440145963. The reversal of 35620440145920 is 2954104402653.

35620440145920 is a `hidden beast` number, since 3 + 5 + 6 + 2 + 0 + 4 + 40 + 14 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1149046456305 + ... + 1149046456335.

Almost surely, 2^{35620440145920} is an apocalyptic number.

35620440145920 is a gapful number since it is divisible by the number (30) 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 35620440145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81012128324400).

35620440145920 is an abundant number, since it is smaller than the sum of its proper divisors (126403816502880).

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

35620440145920 is an frugal number, since it uses more digits than its factorization.

35620440145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 35620440145920 in words is "thirty-five trillion, six hundred twenty billion, four hundred forty million, one hundred forty-five thousand, nine hundred twenty".