10442121937380 has 192 divisors, whose sum is σ = 37148991828480. Its totient is φ = 2385391984128.

The previous prime is 10442121937367. The next prime is 10442121937391. The reversal of 10442121937380 is 8373912124401.

10442121937380 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 21 + 219 + 37 + 380 = 666.

It is a super-2 number, since 2×10442121937380² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5753722 + ... + 7347758.

It is an arithmetic number, because the mean of its divisors is an integer number (193484332440).

Almost surely, 2^{10442121937380} is an apocalyptic number.

10442121937380 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 10442121937380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574495914240).

10442121937380 is an abundant number, since it is smaller than the sum of its proper divisors (26706869891100).

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

10442121937380 is a wasteful number, since it uses less digits than its factorization.

10442121937380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595795 (or 1595787 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10442121937380 in words is "ten trillion, four hundred forty-two billion, one hundred twenty-one million, nine hundred thirty-seven thousand, three hundred eighty".