4137740725500 has 384 divisors, whose sum is σ = 14033444705280. Its totient is φ = 1051444800000.

The previous prime is 4137740725453. The next prime is 4137740725523. The reversal of 4137740725500 is 55270477314.

4137740725500 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 74 + 0 + 72 + 5 + 500 = 666.

It is a super-2 number, since 2×4137740725500² (a number of 26 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 23713575 + ... + 23887425.

It is an arithmetic number, because the mean of its divisors is an integer number (36545428920).

Almost surely, 2^{4137740725500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4137740725500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016722352640).

4137740725500 is an abundant number, since it is smaller than the sum of its proper divisors (9895703979780).

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

4137740725500 is a wasteful number, since it uses less digits than its factorization.

4137740725500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173963 (or 173945 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 4137740725500 in words is "four trillion, one hundred thirty-seven billion, seven hundred forty million, seven hundred twenty-five thousand, five hundred".