4001436031164 has 192 divisors, whose sum is σ = 11007795552768. Its totient is φ = 1115328614400.

The previous prime is 4001436031123. The next prime is 4001436031189. The reversal of 4001436031164 is 4611306341004.

It is a super-2 number, since 2×4001436031164² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 610623312 + ... + 610629864.

It is an arithmetic number, because the mean of its divisors is an integer number (57332268504).

Almost surely, 2^{4001436031164} is an apocalyptic number.

4001436031164 is a gapful number since it is divisible by the number (44) 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 4001436031164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503897776384).

4001436031164 is an abundant number, since it is smaller than the sum of its proper divisors (7006359521604).

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

4001436031164 is a wasteful number, since it uses less digits than its factorization.

4001436031164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7788 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 4001436031164 in words is "four trillion, one billion, four hundred thirty-six million, thirty-one thousand, one hundred sixty-four".