4635242997120 has 768 divisors, whose sum is σ = 17195158612800. Its totient is φ = 1179646820352.

The previous prime is 4635242997103. The next prime is 4635242997139. The reversal of 4635242997120 is 217992425364.

It is a happy number.

4635242997120 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 2 + 429 + 97 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1253783112 + ... + 1253786808.

Almost surely, 2^{4635242997120} is an apocalyptic number.

4635242997120 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 4635242997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8597579306400).

4635242997120 is an abundant number, since it is smaller than the sum of its proper divisors (12559915615680).

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

4635242997120 is a wasteful number, since it uses less digits than its factorization.

4635242997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4635242997120 in words is "four trillion, six hundred thirty-five billion, two hundred forty-two million, nine hundred ninety-seven thousand, one hundred twenty".