141364440 has 320 divisors, whose sum is σ = 568719360. Its totient is φ = 30792960.

The previous prime is 141364403. The next prime is 141364453. The reversal of 141364440 is 44463141.

141364440 is a `hidden beast` number, since 1 + 4 + 13 + 644 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 521505 + ... + 521775.

It is an arithmetic number, because the mean of its divisors is an integer number (1777248).

Almost surely, 2^141364440 is an apocalyptic number.

141364440 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 141364440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284359680).

141364440 is an abundant number, since it is smaller than the sum of its proper divisors (427354920).

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

141364440 is a wasteful number, since it uses less digits than its factorization.

141364440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 141364440 is about 11889.6778762084. The cubic root of 141364440 is about 520.9308278431.

The spelling of 141364440 in words is "one hundred forty-one million, three hundred sixty-four thousand, four hundred forty".