4537029040128 has 1728 divisors, whose sum is σ = 16518428690400. Its totient is φ = 1184838451200.

The previous prime is 4537029040099. The next prime is 4537029040133. The reversal of 4537029040128 is 8210409207354.

4537029040128 is a `hidden beast` number, since 4 + 537 + 0 + 2 + 90 + 4 + 0 + 1 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74377525218 + ... + 74377525278.

Almost surely, 2^{4537029040128} is an apocalyptic number.

4537029040128 is a gapful number since it is divisible by the number (48) 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 4537029040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8259214345200).

4537029040128 is an abundant number, since it is smaller than the sum of its proper divisors (11981399650272).

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

4537029040128 is a wasteful number, since it uses less digits than its factorization.

4537029040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4537029040128 in words is "four trillion, five hundred thirty-seven billion, twenty-nine million, forty thousand, one hundred twenty-eight".