4122071553600 has 5376 divisors, whose sum is σ = 22096585728000. Its totient is φ = 719024947200.

The previous prime is 4122071553563. The next prime is 4122071553601. The reversal of 4122071553600 is 63551702214.

4122071553600 is a `hidden beast` number, since 4 + 1 + 220 + 71 + 5 + 5 + 360 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4122071553601) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 23827003114 + ... + 23827003286.

It is an arithmetic number, because the mean of its divisors is an integer number (4110228000).

Almost surely, 2^{4122071553600} is an apocalyptic number.

4122071553600 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 4122071553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048292864000).

4122071553600 is an abundant number, since it is smaller than the sum of its proper divisors (17974514174400).

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

4122071553600 is a wasteful number, since it uses less digits than its factorization.

4122071553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 4122071553600 in words is "four trillion, one hundred twenty-two billion, seventy-one million, five hundred fifty-three thousand, six hundred".