10011409380 has 192 divisors, whose sum is σ = 35659008000. Its totient is φ = 2284281216.

The previous prime is 10011409367. The next prime is 10011409391. The reversal of 10011409380 is 8390411001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2489011 + ... + 2493029.

It is an arithmetic number, because the mean of its divisors is an integer number (185724000).

Almost surely, 2^10011409380 is an apocalyptic number.

10011409380 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 10011409380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829504000).

10011409380 is an abundant number, since it is smaller than the sum of its proper divisors (25647598620).

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

10011409380 is a wasteful number, since it uses less digits than its factorization.

10011409380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10011409380 in words is "ten billion, eleven million, four hundred nine thousand, three hundred eighty".