1011363840 has 416 divisors, whose sum is σ = 3774412800. Its totient is φ = 256573440.

The previous prime is 1011363833. The next prime is 1011363853. The reversal of 1011363840 is 483631101.

1011363840 is a `hidden beast` number, since 10 + 1 + 13 + 638 + 4 + 0 = 666.

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

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, 17141731 + ... + 17141789.

Almost surely, 2^1011363840 is an apocalyptic number.

1011363840 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 1011363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887206400).

1011363840 is an abundant number, since it is smaller than the sum of its proper divisors (2763048960).

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

1011363840 is an equidigital number, since it uses as much as digits as its factorization.

1011363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1011363840 is about 31801.9471102007. The cubic root of 1011363840 is about 1003.7736880320.

Adding to 1011363840 its reverse (483631101), we get a palindrome (1494994941).

It can be divided in two parts, 101136 and 3840, that added together give a 4-th power (104976 = 18⁴).

The spelling of 1011363840 in words is "one billion, eleven million, three hundred sixty-three thousand, eight hundred forty".