32011010400000 has 432 divisors, whose sum is σ = 107327658590208. Its totient is φ = 8468974080000.

The previous prime is 32011010399923. The next prime is 32011010400049. The reversal of 32011010400000 is 401011023.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304747489 + ... + 304852511.

It is an arithmetic number, because the mean of its divisors is an integer number (248443654144).

Almost surely, 2^{32011010400000} is an apocalyptic number.

32011010400000 is a gapful number since it is divisible by the number (30) 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 32011010400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53663829295104).

32011010400000 is an abundant number, since it is smaller than the sum of its proper divisors (75316648190208).

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

32011010400000 is an equidigital number, since it uses as much as digits as its factorization.

32011010400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105194 (or 105160 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32011010400000 its reverse (401011023), we get a palindrome (32011411411023).

The spelling of 32011010400000 in words is "thirty-two trillion, eleven billion, ten million, four hundred thousand".