10213349040 has 120 divisors (see below), whose sum is σ = 34387190448. Its totient is φ = 2716623360.

The previous prime is 10213349033. The next prime is 10213349089. The reversal of 10213349040 is 4094331201.

10213349040 is a `hidden beast` number, since 1 + 0 + 2 + 133 + 490 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10213349040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10213348995 and 10213349013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267975 + ... + 303705.

Almost surely, 2^10213349040 is an apocalyptic number.

10213349040 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 10213349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193595224).

10213349040 is an abundant number, since it is smaller than the sum of its proper divisors (24173841408).

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

10213349040 is a wasteful number, since it uses less digits than its factorization.

10213349040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36147 (or 36138 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10213349040 in words is "ten billion, two hundred thirteen million, three hundred forty-nine thousand, forty".