43155201350400 has 216 divisors, whose sum is σ = 142590959427840. Its totient is φ = 11494333009920.

The previous prime is 43155201350381. The next prime is 43155201350413. The reversal of 43155201350400 is 405310255134.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14769309 + ... + 17448291.

Almost surely, 2^{43155201350400} is an apocalyptic number.

43155201350400 is a gapful number since it is divisible by the number (40) 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 43155201350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71295479713920).

43155201350400 is an abundant number, since it is smaller than the sum of its proper divisors (99435758077440).

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

43155201350400 is a wasteful number, since it uses less digits than its factorization.

43155201350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679851 (or 2679832 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 43155201350400 in words is "forty-three trillion, one hundred fifty-five billion, two hundred one million, three hundred fifty thousand, four hundred".