2363960471040 has 1280 divisors, whose sum is σ = 10180791244800. Its totient is φ = 507888009216.

The previous prime is 2363960471003. The next prime is 2363960471051. The reversal of 2363960471040 is 401740693632.

2363960471040 is a `hidden beast` number, since 2 + 3 + 6 + 39 + 604 + 7 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1259434582 + ... + 1259436458.

It is an arithmetic number, because the mean of its divisors is an integer number (7953743160).

Almost surely, 2^{2363960471040} is an apocalyptic number.

2363960471040 is a gapful number since it is divisible by the number (20) 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 2363960471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090395622400).

2363960471040 is an abundant number, since it is smaller than the sum of its proper divisors (7816830773760).

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

2363960471040 is a wasteful number, since it uses less digits than its factorization.

2363960471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 2363960471040 in words is "two trillion, three hundred sixty-three billion, nine hundred sixty million, four hundred seventy-one thousand, forty".