10202242412040 has 128 divisors (see below), whose sum is σ = 35288666876160. Its totient is φ = 2311304454144.

The previous prime is 10202242411987. The next prime is 10202242412041. The reversal of 10202242412040 is 4021424220201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10202242412040.

It is not an unprimeable number, because it can be changed into a prime (10202242412041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53646349 + ... + 53836188.

It is an arithmetic number, because the mean of its divisors is an integer number (275692709970).

Almost surely, 2^{10202242412040} is an apocalyptic number.

10202242412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202242412040 is an abundant number, since it is smaller than the sum of its proper divisors (25086424464120).

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

10202242412040 is a wasteful number, since it uses less digits than its factorization.

10202242412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107482671 (or 107482667 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10202242412040 its reverse (4021424220201), we get a palindrome (14223666632241).

The spelling of 10202242412040 in words is "ten trillion, two hundred two billion, two hundred forty-two million, four hundred twelve thousand, forty".