487142132400 has 2400 divisors, whose sum is σ = 2357620531200. Its totient is φ = 93274675200.

The previous prime is 487142132339. The next prime is 487142132471. The reversal of 487142132400 is 4231241784.

487142132400 is a `hidden beast` number, since 4 + 87 + 1 + 42 + 132 + 400 = 666.

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 479 ways as a sum of consecutive naturals, for example, 2038251481 + ... + 2038251719.

It is an arithmetic number, because the mean of its divisors is an integer number (982341888).

Almost surely, 2^487142132400 is an apocalyptic number.

487142132400 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 487142132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178810265600).

487142132400 is an abundant number, since it is smaller than the sum of its proper divisors (1870478398800).

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

487142132400 is a wasteful number, since it uses less digits than its factorization.

487142132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 487142132400 in words is "four hundred eighty-seven billion, one hundred forty-two million, one hundred thirty-two thousand, four hundred".