1401249600 has 504 divisors, whose sum is σ = 5332650752. Its totient is φ = 348364800.

The previous prime is 1401249589. The next prime is 1401249611. The reversal of 1401249600 is 69421041.

1401249600 is a `hidden beast` number, since 1 + 4 + 0 + 12 + 49 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1401249589) and next prime (1401249611).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19195164 + ... + 19195236.

Almost surely, 2^1401249600 is an apocalyptic number.

1401249600 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 1401249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666325376).

1401249600 is an abundant number, since it is smaller than the sum of its proper divisors (3931401152).

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

1401249600 is a wasteful number, since it uses less digits than its factorization.

1401249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1401249600 is about 37433.2686256490. The cubic root of 1401249600 is about 1119.0216796994.

It can be divided in two parts, 1401 and 249600, that added together give a square (251001 = 501²).

The spelling of 1401249600 in words is "one billion, four hundred one million, two hundred forty-nine thousand, six hundred".