1011014004000 has 1536 divisors, whose sum is σ = 4709529796608. Its totient is φ = 182476800000.

The previous prime is 1011014003959. The next prime is 1011014004019. The reversal of 1011014004000 is 4004101101.

It is a super-2 number, since 2×1011014004000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 204201525 + ... + 204206475.

It is an arithmetic number, because the mean of its divisors is an integer number (3066100128).

Almost surely, 2^{1011014004000} is an apocalyptic number.

1011014004000 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 1011014004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354764898304).

1011014004000 is an abundant number, since it is smaller than the sum of its proper divisors (3698515792608).

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

1011014004000 is a wasteful number, since it uses less digits than its factorization.

1011014004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1011014004000 its reverse (4004101101), we get a palindrome (1015018105101).

It can be divided in two parts, 101 and 1014004000, that added together give a palindrome (1014004101).

The spelling of 1011014004000 in words is "one trillion, eleven billion, fourteen million, four thousand".