1401470400 has 504 divisors, whose sum is σ = 5361879040. Its totient is φ = 319334400.

The previous prime is 1401470387. The next prime is 1401470401. The reversal of 1401470400 is 40741041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401470401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11035137 + ... + 11035263.

Almost surely, 2^1401470400 is an apocalyptic number.

1401470400 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 1401470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680939520).

1401470400 is an abundant number, since it is smaller than the sum of its proper divisors (3960408640).

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

1401470400 is a wasteful number, since it uses less digits than its factorization.

1401470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1401470400 is about 37436.2177576742. The cubic root of 1401470400 is about 1119.0804527189.

The spelling of 1401470400 in words is "one billion, four hundred one million, four hundred seventy thousand, four hundred".