4119374413440 has 1536 divisors, whose sum is σ = 17492456217600. Its totient is φ = 921325363200.

The previous prime is 4119374413423. The next prime is 4119374413481. The reversal of 4119374413440 is 443144739114.

4119374413440 is a `hidden beast` number, since 4 + 1 + 193 + 7 + 4 + 4 + 13 + 440 = 666.

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

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, 2201695705 + ... + 2201697575.

It is an arithmetic number, because the mean of its divisors is an integer number (11388317850).

Almost surely, 2^{4119374413440} is an apocalyptic number.

4119374413440 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 4119374413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746228108800).

4119374413440 is an abundant number, since it is smaller than the sum of its proper divisors (13373081804160).

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

4119374413440 is a wasteful number, since it uses less digits than its factorization.

4119374413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4119374413440 in words is "four trillion, one hundred nineteen billion, three hundred seventy-four million, four hundred thirteen thousand, four hundred forty".