1011611040 has 192 divisors, whose sum is σ = 3561812352. Its totient is φ = 239206400.

The previous prime is 1011611023. The next prime is 1011611057. The reversal of 1011611040 is 401161101.

It is an interprime number because it is at equal distance from previous prime (1011611023) and next prime (1011611057).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 214144 + ... + 218816.

It is an arithmetic number, because the mean of its divisors is an integer number (18551106).

Almost surely, 2^1011611040 is an apocalyptic number.

1011611040 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 1011611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780906176).

1011611040 is an abundant number, since it is smaller than the sum of its proper divisors (2550201312).

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

1011611040 is a wasteful number, since it uses less digits than its factorization.

1011611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1011611040 is about 31805.8334272190. The cubic root of 1011611040 is about 1003.8554629687.

Adding to 1011611040 its reverse (401161101), we get a palindrome (1412772141).

It can be divided in two parts, 101161 and 1040, that added together give a palindrome (102201).

The spelling of 1011611040 in words is "one billion, eleven million, six hundred eleven thousand, forty".