495142502400 has 2040 divisors, whose sum is σ = 2312708997984. Its totient is φ = 101921587200.

The previous prime is 495142502381. The next prime is 495142502419. The reversal of 495142502400 is 4205241594.

It is a happy number.

495142502400 is a `hidden beast` number, since 4 + 9 + 5 + 142 + 502 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (495142502381) and next prime (495142502419).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12076646380 + ... + 12076646420.

Almost surely, 2^495142502400 is an apocalyptic number.

495142502400 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 495142502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156354498992).

495142502400 is an abundant number, since it is smaller than the sum of its proper divisors (1817566495584).

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

495142502400 is an equidigital number, since it uses as much as digits as its factorization.

495142502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 495142502400 its reverse (4205241594), we get a palindrome (499347743994).

The spelling of 495142502400 in words is "four hundred ninety-five billion, one hundred forty-two million, five hundred two thousand, four hundred".