4542610645440 has 224 divisors, whose sum is σ = 18314652687360. Its totient is φ = 1038310990848.

The previous prime is 4542610645399. The next prime is 4542610645457. The reversal of 4542610645440 is 445460162454.

4542610645440 is a `hidden beast` number, since 4 + 5 + 42 + 6 + 1 + 0 + 64 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4542610645440² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 37494172 + ... + 37615131.

Almost surely, 2^{4542610645440} is an apocalyptic number.

4542610645440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4542610645440 is an abundant number, since it is smaller than the sum of its proper divisors (13772042041920).

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

4542610645440 is a wasteful number, since it uses less digits than its factorization.

4542610645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75109336 (or 75109320 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 4542610645440 in words is "four trillion, five hundred forty-two billion, six hundred ten million, six hundred forty-five thousand, four hundred forty".