4151626551072 has 1152 divisors, whose sum is σ = 16450167605760. Its totient is φ = 991213977600.

The previous prime is 4151626551041. The next prime is 4151626551109. The reversal of 4151626551072 is 2701556261514.

4151626551072 is a `hidden beast` number, since 4 + 1 + 5 + 1 + 6 + 2 + 65 + 510 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2673293848 + ... + 2673295400.

It is an arithmetic number, because the mean of its divisors is an integer number (14279659380).

Almost surely, 2^{4151626551072} is an apocalyptic number.

4151626551072 is a gapful number since it is divisible by the number (42) 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 4151626551072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225083802880).

4151626551072 is an abundant number, since it is smaller than the sum of its proper divisors (12298541054688).

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

4151626551072 is a wasteful number, since it uses less digits than its factorization.

4151626551072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 4151626551072 in words is "four trillion, one hundred fifty-one billion, six hundred twenty-six million, five hundred fifty-one thousand, seventy-two".