1011400266240 has 3600 divisors, whose sum is σ = 4958133016320. Its totient is φ = 195641671680.

The previous prime is 1011400266229. The next prime is 1011400266251. The reversal of 1011400266240 is 426620041101.

1011400266240 is a `hidden beast` number, since 1 + 0 + 1 + 14 + 0 + 0 + 26 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1011400266229) and next prime (1011400266251).

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 359 ways as a sum of consecutive naturals, for example, 32625815025 + ... + 32625815055.

Almost surely, 2^{1011400266240} is an apocalyptic number.

1011400266240 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 1011400266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479066508160).

1011400266240 is an abundant number, since it is smaller than the sum of its proper divisors (3946732750080).

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

1011400266240 is a wasteful number, since it uses less digits than its factorization.

1011400266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1011400266240 in words is "one trillion, eleven billion, four hundred million, two hundred sixty-six thousand, two hundred forty".