4013454551040 has 576 divisors, whose sum is σ = 15664070822400. Its totient is φ = 941565542400.

The previous prime is 4013454551039. The next prime is 4013454551063. The reversal of 4013454551040 is 401554543104.

4013454551040 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 4 + 545 + 5 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4013454551040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4013454550986 and 4013454551004.

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, 31362706 + ... + 31490414.

It is an arithmetic number, because the mean of its divisors is an integer number (27194567400).

Almost surely, 2^{4013454551040} is an apocalyptic number.

4013454551040 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 4013454551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7832035411200).

4013454551040 is an abundant number, since it is smaller than the sum of its proper divisors (11650616271360).

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

4013454551040 is a wasteful number, since it uses less digits than its factorization.

4013454551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127784 (or 127761 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 4013454551040 in words is "four trillion, thirteen billion, four hundred fifty-four million, five hundred fifty-one thousand, forty".