1400827680 has 216 divisors, whose sum is σ = 5561065692. Its totient is φ = 320173056.

The previous prime is 1400827679. The next prime is 1400827691. The reversal of 1400827680 is 867280041.

It can be written as a sum of positive squares in 2 ways, for example, as 1310729616 + 90098064 = 36204^2 + 9492^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60634 + ... + 80486.

Almost surely, 2^1400827680 is an apocalyptic number.

1400827680 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 1400827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780532846).

1400827680 is an abundant number, since it is smaller than the sum of its proper divisors (4160238012).

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

1400827680 is a wasteful number, since it uses less digits than its factorization.

1400827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19888 (or 19870 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1400827680 is about 37427.6325727396. The cubic root of 1400827680 is about 1118.9093549519.

The spelling of 1400827680 in words is "one billion, four hundred million, eight hundred twenty-seven thousand, six hundred eighty".