1465421207040 has 1600 divisors, whose sum is σ = 6411206799360. Its totient is φ = 312692244480.

The previous prime is 1465421207017. The next prime is 1465421207059. The reversal of 1465421207040 is 407021245641.

1465421207040 is a `hidden beast` number, since 1 + 4 + 6 + 542 + 1 + 2 + 0 + 70 + 40 = 666.

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 = 1465421206986 and 1465421207004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1304915919 + ... + 1304917041.

Almost surely, 2^{1465421207040} is an apocalyptic number.

1465421207040 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 1465421207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205603399680).

1465421207040 is an abundant number, since it is smaller than the sum of its proper divisors (4945785592320).

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

1465421207040 is a wasteful number, since it uses less digits than its factorization.

1465421207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1465421207040 in words is "one trillion, four hundred sixty-five billion, four hundred twenty-one million, two hundred seven thousand, forty".