1486725090400 has 576 divisors, whose sum is σ = 4189082256576. Its totient is φ = 510382080000.

The previous prime is 1486725090379. The next prime is 1486725090401. The reversal of 1486725090400 is 40905276841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1486725090401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1742936374 + ... + 1742937226.

It is an arithmetic number, because the mean of its divisors is an integer number (7272712251).

Almost surely, 2^{1486725090400} is an apocalyptic number.

1486725090400 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 1486725090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094541128288).

1486725090400 is an abundant number, since it is smaller than the sum of its proper divisors (2702357166176).

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

1486725090400 is a wasteful number, since it uses less digits than its factorization.

1486725090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 1486725090400 in words is "one trillion, four hundred eighty-six billion, seven hundred twenty-five million, ninety thousand, four hundred".