1011362463720 has 576 divisors, whose sum is σ = 3899180235600. Its totient is φ = 226622914560.

The previous prime is 1011362463697. The next prime is 1011362463751. The reversal of 1011362463720 is 273642631101.

1011362463720 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 624 + 6 + 3 + 7 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 123964551396 + 887397912324 = 352086^2 + 942018^2 .

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 143 ways as a sum of consecutive naturals, for example, 362624086 + ... + 362626874.

Almost surely, 2^{1011362463720} is an apocalyptic number.

1011362463720 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 1011362463720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949590117800).

1011362463720 is an abundant number, since it is smaller than the sum of its proper divisors (2887817771880).

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

1011362463720 is a wasteful number, since it uses less digits than its factorization.

1011362463720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1011362463720 in words is "one trillion, eleven billion, three hundred sixty-two million, four hundred sixty-three thousand, seven hundred twenty".