4178972528640 has 4160 divisors, whose sum is σ = 20460336906240. Its totient is φ = 791166320640.

The previous prime is 4178972528617. The next prime is 4178972528651. The reversal of 4178972528640 is 468252798714.

It is a happy number.

4178972528640 is a `hidden beast` number, since 4 + 17 + 8 + 97 + 2 + 528 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a super-2 number, since 2×4178972528640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 88914309097 + ... + 88914309143.

Almost surely, 2^{4178972528640} is an apocalyptic number.

4178972528640 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 4178972528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10230168453120).

4178972528640 is an abundant number, since it is smaller than the sum of its proper divisors (16281364377600).

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

4178972528640 is a wasteful number, since it uses less digits than its factorization.

4178972528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 4178972528640 in words is "four trillion, one hundred seventy-eight billion, nine hundred seventy-two million, five hundred twenty-eight thousand, six hundred forty".