4011728077440 has 384 divisors, whose sum is σ = 13921520820480. Its totient is φ = 1064513249280.

The previous prime is 4011728077421. The next prime is 4011728077459. The reversal of 4011728077440 is 447708271104.

4011728077440 is a `hidden beast` number, since 4 + 0 + 117 + 28 + 0 + 77 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (4011728077421) and next prime (4011728077459).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2314902814 + ... + 2314904546.

It is an arithmetic number, because the mean of its divisors is an integer number (36253960470).

Almost surely, 2^{4011728077440} is an apocalyptic number.

4011728077440 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 4011728077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960760410240).

4011728077440 is an abundant number, since it is smaller than the sum of its proper divisors (9909792743040).

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

4011728077440 is a wasteful number, since it uses less digits than its factorization.

4011728077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 4011728077440 in words is "four trillion, eleven billion, seven hundred twenty-eight million, seventy-seven thousand, four hundred forty".