1401621408 has 360 divisors, whose sum is σ = 4684028580. Its totient is φ = 410572800.

The previous prime is 1401621349. The next prime is 1401621413. The reversal of 1401621408 is 8041261041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1356301584 + 45319824 = 36828^2 + 6732^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12858858 + ... + 12858966.

Almost surely, 2^1401621408 is an apocalyptic number.

1401621408 is a gapful number since it is divisible by the number (18) 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 1401621408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342014290).

1401621408 is an abundant number, since it is smaller than the sum of its proper divisors (3282407172).

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

1401621408 is a wasteful number, since it uses less digits than its factorization.

1401621408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1401621408 is about 37438.2345737616. The cubic root of 1401621408 is about 1119.1206447990.

Adding to 1401621408 its reverse (8041261041), we get a palindrome (9442882449).

The spelling of 1401621408 in words is "one billion, four hundred one million, six hundred twenty-one thousand, four hundred eight".