35405040798720 has 880 divisors, whose sum is σ = 130481606711808. Its totient is φ = 9173420605440.

The previous prime is 35405040798629. The next prime is 35405040798749. The reversal of 35405040798720 is 2789704050453.

It is a happy number.

35405040798720 is a `hidden beast` number, since 3 + 5 + 40 + 504 + 0 + 7 + 98 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16771690465 + ... + 16771692575.

Almost surely, 2^{35405040798720} is an apocalyptic number.

35405040798720 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 35405040798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65240803355904).

35405040798720 is an abundant number, since it is smaller than the sum of its proper divisors (95076565913088).

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

35405040798720 is a wasteful number, since it uses less digits than its factorization.

35405040798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 35405040798720 in words is "thirty-five trillion, four hundred five billion, forty million, seven hundred ninety-eight thousand, seven hundred twenty".