4141915323840 has 1344 divisors, whose sum is σ = 17733800448000. Its totient is φ = 884317077504.

The previous prime is 4141915323797. The next prime is 4141915323899. The reversal of 4141915323840 is 483235191414.

4141915323840 is a `hidden beast` number, since 4 + 1 + 41 + 9 + 1 + 532 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×4141915323840² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1370132569 + ... + 1370135591.

It is an arithmetic number, because the mean of its divisors is an integer number (13194792000).

Almost surely, 2^{4141915323840} is an apocalyptic number.

4141915323840 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 4141915323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866900224000).

4141915323840 is an abundant number, since it is smaller than the sum of its proper divisors (13591885124160).

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

4141915323840 is a wasteful number, since it uses less digits than its factorization.

4141915323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4141915323840 in words is "four trillion, one hundred forty-one billion, nine hundred fifteen million, three hundred twenty-three thousand, eight hundred forty".