1214968553040 has 480 divisors, whose sum is σ = 4257711489024. Its totient is φ = 284213422080.

The previous prime is 1214968552957. The next prime is 1214968553041. The reversal of 1214968553040 is 403558694121.

It is a super-2 number, since 2×1214968553040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214968553041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 458996997 + ... + 458999643.

Almost surely, 2^{1214968553040} is an apocalyptic number.

1214968553040 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 1214968553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128855744512).

1214968553040 is an abundant number, since it is smaller than the sum of its proper divisors (3042742935984).

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

1214968553040 is a wasteful number, since it uses less digits than its factorization.

1214968553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 1214968553040 in words is "one trillion, two hundred fourteen billion, nine hundred sixty-eight million, five hundred fifty-three thousand, forty".