33231140012400 has 240 divisors, whose sum is σ = 116182785492480. Its totient is φ = 8052214579200.

The previous prime is 33231140012383. The next prime is 33231140012423. The reversal of 33231140012400 is 421004113233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33231140012400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 27295881 + ... + 28487319.

It is an arithmetic number, because the mean of its divisors is an integer number (484094939552).

Almost surely, 2^{33231140012400} is an apocalyptic number.

33231140012400 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 33231140012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58091392746240).

33231140012400 is an abundant number, since it is smaller than the sum of its proper divisors (82951645480080).

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

33231140012400 is a wasteful number, since it uses less digits than its factorization.

33231140012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193584 (or 1193573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33231140012400 its reverse (421004113233), we get a palindrome (33652144125633).

The spelling of 33231140012400 in words is "thirty-three trillion, two hundred thirty-one billion, one hundred forty million, twelve thousand, four hundred".