10158188040 has 576 divisors, whose sum is σ = 45129389760. Its totient is φ = 1947939840.

The previous prime is 10158188039. The next prime is 10158188069. The reversal of 10158188040 is 4088185101.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 10158187986 and 10158188004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2520507 + ... + 2524533.

It is an arithmetic number, because the mean of its divisors is an integer number (78349635).

Almost surely, 2^10158188040 is an apocalyptic number.

10158188040 is a gapful number since it is divisible by the number (10) 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 10158188040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22564694880).

10158188040 is an abundant number, since it is smaller than the sum of its proper divisors (34971201720).

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

10158188040 is a wasteful number, since it uses less digits than its factorization.

10158188040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 10158188040 in words is "ten billion, one hundred fifty-eight million, one hundred eighty-eight thousand, forty".