402527572121376 has 1536 divisors, whose sum is σ = 1391587923640320. Its totient is φ = 112048595730432.

The previous prime is 402527572121371. The next prime is 402527572121383. The reversal of 402527572121376 is 673121275725204.

402527572121376 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 2 + 7 + 57 + 212 + 1 + 376 = 666.

It is a super-2 number, since 2×402527572121376² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (402527572121371) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 489097900101 + ... + 489097900923.

It is an arithmetic number, because the mean of its divisors is an integer number (905981721120).

Almost surely, 2^{402527572121376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402527572121376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695793961820160).

402527572121376 is an abundant number, since it is smaller than the sum of its proper divisors (989060351518944).

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

402527572121376 is a wasteful number, since it uses less digits than its factorization.

402527572121376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 402527572121376 in words is "four hundred two trillion, five hundred twenty-seven billion, five hundred seventy-two million, one hundred twenty-one thousand, three hundred seventy-six".