1014981408 has 192 divisors, whose sum is σ = 3401637120. Its totient is φ = 288423936.

The previous prime is 1014981397. The next prime is 1014981427. The reversal of 1014981408 is 8041894101.

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 31 ways as a sum of consecutive naturals, for example, 1554010 + ... + 1554662.

It is an arithmetic number, because the mean of its divisors is an integer number (17716860).

Almost surely, 2^1014981408 is an apocalyptic number.

1014981408 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 1014981408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700818560).

1014981408 is an abundant number, since it is smaller than the sum of its proper divisors (2386655712).

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

1014981408 is a wasteful number, since it uses less digits than its factorization.

1014981408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1014981408 is about 31858.7728577232. The cubic root of 1014981408 is about 1004.9690701107.

The spelling of 1014981408 in words is "one billion, fourteen million, nine hundred eighty-one thousand, four hundred eight".