4001505645240 has 192 divisors, whose sum is σ = 13198170585600. Its totient is φ = 1051232582400.

The previous prime is 4001505645223. The next prime is 4001505645257. The reversal of 4001505645240 is 425465051004.

4001505645240 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 5 + 0 + 5 + 645 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4001505645223) and next prime (4001505645257).

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 = 4001505645195 and 4001505645204.

It is a congruent number.

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, 33654295 + ... + 33772985.

It is an arithmetic number, because the mean of its divisors is an integer number (68740471800).

Almost surely, 2^{4001505645240} is an apocalyptic number.

4001505645240 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 4001505645240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599085292800).

4001505645240 is an abundant number, since it is smaller than the sum of its proper divisors (9196664940360).

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

4001505645240 is a wasteful number, since it uses less digits than its factorization.

4001505645240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120098 (or 120091 counting only the distinct ones).

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

The spelling of 4001505645240 in words is "four trillion, one billion, five hundred five million, six hundred forty-five thousand, two hundred forty".