35413413201120 has 192 divisors, whose sum is σ = 117011792830464. Its totient is φ = 8985692897280.

The previous prime is 35413413201037. The next prime is 35413413201191. The reversal of 35413413201120 is 2110231431453.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6288577 + ... + 10505856.

It is an arithmetic number, because the mean of its divisors is an integer number (609436420992).

Almost surely, 2^{35413413201120} is an apocalyptic number.

35413413201120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35413413201120 is an abundant number, since it is smaller than the sum of its proper divisors (81598379629344).

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

35413413201120 is a wasteful number, since it uses less digits than its factorization.

35413413201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16794665 (or 16794657 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 35413413201120 its reverse (2110231431453), we get a palindrome (37523644632573).

The spelling of 35413413201120 in words is "thirty-five trillion, four hundred thirteen billion, four hundred thirteen million, two hundred one thousand, one hundred twenty".