40302153120000 has 360 divisors, whose sum is σ = 135336700442944. Its totient is φ = 10642885632000.

The previous prime is 40302153119971. The next prime is 40302153120029. The reversal of 40302153120000 is 2135120304.

It is an interprime number because it is at equal distance from previous prime (40302153119971) and next prime (40302153120029).

It is a super-2 number, since 2×40302153120000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49032414 + ... + 49847586.

Almost surely, 2^{40302153120000} is an apocalyptic number.

40302153120000 is a gapful number since it is divisible by the number (40) 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 40302153120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67668350221472).

40302153120000 is an abundant number, since it is smaller than the sum of its proper divisors (95034547322944).

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

40302153120000 is an equidigital number, since it uses as much as digits as its factorization.

40302153120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815315 (or 815286 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 40302153120000 its reverse (2135120304), we get a palindrome (40304288240304).

The spelling of 40302153120000 in words is "forty trillion, three hundred two billion, one hundred fifty-three million, one hundred twenty thousand".