1402945518240 has 480 divisors, whose sum is σ = 5841092404224. Its totient is φ = 310328340480.

The previous prime is 1402945518239. The next prime is 1402945518287. The reversal of 1402945518240 is 428155492041.

1402945518240 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 94 + 5 + 518 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1402945518240² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2562892 + ... + 3061748.

Almost surely, 2^{1402945518240} is an apocalyptic number.

1402945518240 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 1402945518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920546202112).

1402945518240 is an abundant number, since it is smaller than the sum of its proper divisors (4438146885984).

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

1402945518240 is a wasteful number, since it uses less digits than its factorization.

1402945518240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498922 (or 498905 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1402945518240 in words is "one trillion, four hundred two billion, nine hundred forty-five million, five hundred eighteen thousand, two hundred forty".