142791398400 has 528 divisors, whose sum is σ = 543232532480. Its totient is φ = 32403456000.

The previous prime is 142791398381. The next prime is 142791398423. The reversal of 142791398400 is 4893197241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 142791398400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81176721 + ... + 81178479.

Almost surely, 2^142791398400 is an apocalyptic number.

142791398400 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 142791398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271616266240).

142791398400 is an abundant number, since it is smaller than the sum of its proper divisors (400441134080).

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

142791398400 is a wasteful number, since it uses less digits than its factorization.

142791398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 142791398400 in words is "one hundred forty-two billion, seven hundred ninety-one million, three hundred ninety-eight thousand, four hundred".