141252215350400 has 384 divisors, whose sum is σ = 435083680005120. Its totient is φ = 44022090240000.

The previous prime is 141252215350399. The next prime is 141252215350403. The reversal of 141252215350400 is 4053512252141.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (141252215350403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2974270655 + ... + 2974318145.

It is an arithmetic number, because the mean of its divisors is an integer number (1133030416680).

Almost surely, 2^{141252215350400} is an apocalyptic number.

141252215350400 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 141252215350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217541840002560).

141252215350400 is an abundant number, since it is smaller than the sum of its proper divisors (293831464654720).

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

141252215350400 is a wasteful number, since it uses less digits than its factorization.

141252215350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59604 (or 59587 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 141252215350400 in words is "one hundred forty-one trillion, two hundred fifty-two billion, two hundred fifteen million, three hundred fifty thousand, four hundred".