10402022433120 has 192 divisors, whose sum is σ = 33633271707840. Its totient is φ = 2701384704000.

The previous prime is 10402022433113. The next prime is 10402022433191. The reversal of 10402022433120 is 2133422020401.

It is a happy number.

It is a super-3 number, since 3×10402022433120³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198566 + ... + 4715994.

It is an arithmetic number, because the mean of its divisors is an integer number (175173290145).

Almost surely, 2^{10402022433120} is an apocalyptic number.

10402022433120 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 10402022433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816635853920).

10402022433120 is an abundant number, since it is smaller than the sum of its proper divisors (23231249274720).

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

10402022433120 is a wasteful number, since it uses less digits than its factorization.

10402022433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517609 (or 3517601 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10402022433120 its reverse (2133422020401), we get a palindrome (12535444453521).

The spelling of 10402022433120 in words is "ten trillion, four hundred two billion, twenty-two million, four hundred thirty-three thousand, one hundred twenty".