1401675840 has 280 divisors, whose sum is σ = 5280961752. Its totient is φ = 351682560.

The previous prime is 1401675839. The next prime is 1401675883. The reversal of 1401675840 is 485761041.

It is a happy number.

1401675840 is a `hidden beast` number, since 14 + 0 + 1 + 67 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63872064 + 1337803776 = 7992^2 + 36576^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1401675795 and 1401675804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439050 + ... + 442230.

Almost surely, 2^1401675840 is an apocalyptic number.

1401675840 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 1401675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640480876).

1401675840 is an abundant number, since it is smaller than the sum of its proper divisors (3879285912).

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

1401675840 is a wasteful number, since it uses less digits than its factorization.

1401675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1401675840 is about 37438.9615240594. The cubic root of 1401675840 is about 1119.1351316369.

The spelling of 1401675840 in words is "one billion, four hundred one million, six hundred seventy-five thousand, eight hundred forty".