1461437640000 has 2100 divisors, whose sum is σ = 6246270775404. Its totient is φ = 336420864000.

The previous prime is 1461437639927. The next prime is 1461437640001. The reversal of 1461437640000 is 467341641.

1461437640000 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 4 + 3 + 7 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 30 ways, for example, as 949548904704 + 511888735296 = 974448^2 + 715464^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461437640001) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 9308519922 + ... + 9308520078.

Almost surely, 2^{1461437640000} is an apocalyptic number.

1461437640000 is a gapful number since it is divisible by the number (10) 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 1461437640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123135387702).

1461437640000 is an abundant number, since it is smaller than the sum of its proper divisors (4784833135404).

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

1461437640000 is a wasteful number, since it uses less digits than its factorization.

1461437640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1461437640000 in words is "one trillion, four hundred sixty-one billion, four hundred thirty-seven million, six hundred forty thousand".