501287081400 has 1152 divisors, whose sum is σ = 2142112896000. Its totient is φ = 108461203200.

The previous prime is 501287081377. The next prime is 501287081411. The reversal of 501287081400 is 4180782105.

501287081400 is a `hidden beast` number, since 50 + 128 + 7 + 0 + 81 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 407218785 + ... + 407220015.

It is an arithmetic number, because the mean of its divisors is an integer number (1859473000).

Almost surely, 2^501287081400 is an apocalyptic number.

501287081400 is a gapful number since it is divisible by the number (50) 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 501287081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071056448000).

501287081400 is an abundant number, since it is smaller than the sum of its proper divisors (1640825814600).

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

501287081400 is a wasteful number, since it uses less digits than its factorization.

501287081400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 501287081400 in words is "five hundred one billion, two hundred eighty-seven million, eighty-one thousand, four hundred".