402721851840 has 448 divisors, whose sum is σ = 1614353448960. Its totient is φ = 82621992960.

The previous prime is 402721851839. The next prime is 402721851907. The reversal of 402721851840 is 48158127204.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×402721851840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 402721851792 and 402721851801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5805199 + ... + 5874161.

It is an arithmetic number, because the mean of its divisors is an integer number (3603467520).

Almost surely, 2^402721851840 is an apocalyptic number.

402721851840 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 402721851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807176724480).

402721851840 is an abundant number, since it is smaller than the sum of its proper divisors (1211631597120).

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

402721851840 is a wasteful number, since it uses less digits than its factorization.

402721851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69080 (or 69070 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 402721851840 in words is "four hundred two billion, seven hundred twenty-one million, eight hundred fifty-one thousand, eight hundred forty".