452010142100000 has 288 divisors, whose sum is σ = 1222678576937664. Its totient is φ = 163112560000000.

The previous prime is 452010142099987. The next prime is 452010142100003. The reversal of 452010142100000 is 1241010254.

It is a happy number.

It is a super-2 number, since 2×452010142100000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (452010142100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142531610 + ... + 145668390.

It is an arithmetic number, because the mean of its divisors is an integer number (4245411725478).

Almost surely, 2^{452010142100000} is an apocalyptic number.

452010142100000 is a gapful number since it is divisible by the number (40) 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 452010142100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611339288468832).

452010142100000 is an abundant number, since it is smaller than the sum of its proper divisors (770668434837664).

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

452010142100000 is a wasteful number, since it uses less digits than its factorization.

452010142100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136958 (or 3136930 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 452010142100000 its reverse (1241010254), we get a palindrome (452011383110254).

The spelling of 452010142100000 in words is "four hundred fifty-two trillion, ten billion, one hundred forty-two million, one hundred thousand".