402219850032 has 1440 divisors, whose sum is σ = 1613630054400. Its totient is φ = 92766643200.

The previous prime is 402219850031. The next prime is 402219850037. The reversal of 402219850032 is 230058912204.

It is a happy number.

402219850032 is a `hidden beast` number, since 40 + 2 + 21 + 98 + 500 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402219850031) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2408502013 + ... + 2408502179.

Almost surely, 2^402219850032 is an apocalyptic number.

402219850032 is a gapful number since it is divisible by the number (42) 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 402219850032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806815027200).

402219850032 is an abundant number, since it is smaller than the sum of its proper divisors (1211410204368).

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

402219850032 is a wasteful number, since it uses less digits than its factorization.

402219850032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 402219850032 in words is "four hundred two billion, two hundred nineteen million, eight hundred fifty thousand, thirty-two".