10142626032 has 480 divisors, whose sum is σ = 37841506560. Its totient is φ = 2570641920.

The previous prime is 10142626031. The next prime is 10142626051. The reversal of 10142626032 is 23062624101.

10142626032 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 626 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10142625987 and 10142626005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142626031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10011958 + ... + 10012970.

It is an arithmetic number, because the mean of its divisors is an integer number (78836472).

Almost surely, 2^10142626032 is an apocalyptic number.

10142626032 is a gapful number since it is divisible by the number (12) 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 10142626032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18920753280).

10142626032 is an abundant number, since it is smaller than the sum of its proper divisors (27698880528).

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

10142626032 is a wasteful number, since it uses less digits than its factorization.

10142626032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10142626032 in words is "ten billion, one hundred forty-two million, six hundred twenty-six thousand, thirty-two".