401742763240 has 384 divisors, whose sum is σ = 1206033615360. Its totient is φ = 117183449088.

The previous prime is 401742763217. The next prime is 401742763313. The reversal of 401742763240 is 42367247104.

It is a super-2 number, since 2×401742763240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 401742763193 and 401742763202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48615349 + ... + 48623611.

It is an arithmetic number, because the mean of its divisors is an integer number (3140712540).

Almost surely, 2^401742763240 is an apocalyptic number.

401742763240 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 401742763240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603016807680).

401742763240 is an abundant number, since it is smaller than the sum of its proper divisors (804290852120).

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

401742763240 is a wasteful number, since it uses less digits than its factorization.

401742763240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 401742763240 in words is "four hundred one billion, seven hundred forty-two million, seven hundred sixty-three thousand, two hundred forty".