1011321629472 has 288 divisors, whose sum is σ = 3567055786560. Its totient is φ = 247228907520.

The previous prime is 1011321629471. The next prime is 1011321629497. The reversal of 1011321629472 is 2749261231101.

It is a self number, because there is not a number n which added to its sum of digits gives 1011321629472.

It is not an unprimeable number, because it can be changed into a prime (1011321629471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304804 + ... + 1454492.

It is an arithmetic number, because the mean of its divisors is an integer number (12385610370).

Almost surely, 2^{1011321629472} is an apocalyptic number.

1011321629472 is a gapful number since it is divisible by the number (12) 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 1011321629472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783527893280).

1011321629472 is an abundant number, since it is smaller than the sum of its proper divisors (2555734157088).

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

1011321629472 is a wasteful number, since it uses less digits than its factorization.

1011321629472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149744 (or 1149729 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 1011321629472 in words is "one trillion, eleven billion, three hundred twenty-one million, six hundred twenty-nine thousand, four hundred seventy-two".