1464025779840 has 512 divisors, whose sum is σ = 5465044650240. Its totient is φ = 330006528000.

The previous prime is 1464025779833. The next prime is 1464025779841. The reversal of 1464025779840 is 489775204641.

It is a super-2 number, since 2×1464025779840² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1464025779841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15653215 + ... + 15746465.

Almost surely, 2^{1464025779840} is an apocalyptic number.

1464025779840 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 1464025779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732522325120).

1464025779840 is an abundant number, since it is smaller than the sum of its proper divisors (4001018870400).

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

1464025779840 is a wasteful number, since it uses less digits than its factorization.

1464025779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93340 (or 93328 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 1464025779840 in words is "one trillion, four hundred sixty-four billion, twenty-five million, seven hundred seventy-nine thousand, eight hundred forty".