4137372066240 has 1344 divisors, whose sum is σ = 17068878028800. Its totient is φ = 900055203840.

The previous prime is 4137372066199. The next prime is 4137372066263. The reversal of 4137372066240 is 426602737314.

4137372066240 is a `hidden beast` number, since 4 + 1 + 37 + 372 + 0 + 6 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×4137372066240² (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 191 ways as a sum of consecutive naturals, for example, 14619689139 + ... + 14619689421.

Almost surely, 2^{4137372066240} is an apocalyptic number.

4137372066240 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 4137372066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534439014400).

4137372066240 is an abundant number, since it is smaller than the sum of its proper divisors (12931505962560).

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

4137372066240 is a wasteful number, since it uses less digits than its factorization.

4137372066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 4137372066240 in words is "four trillion, one hundred thirty-seven billion, three hundred seventy-two million, sixty-six thousand, two hundred forty".