377642442240 has 640 divisors, whose sum is σ = 1559150208000. Its totient is φ = 84848836608.

The previous prime is 377642442239. The next prime is 377642442263. The reversal of 377642442240 is 42244246773.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×377642442240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 28539946 + ... + 28553174.

It is an arithmetic number, because the mean of its divisors is an integer number (2436172200).

Almost surely, 2^377642442240 is an apocalyptic number.

377642442240 is a gapful number since it is divisible by the number (30) 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 377642442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779575104000).

377642442240 is an abundant number, since it is smaller than the sum of its proper divisors (1181507765760).

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

377642442240 is a wasteful number, since it uses less digits than its factorization.

377642442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13327 (or 13305 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 45.

The spelling of 377642442240 in words is "three hundred seventy-seven billion, six hundred forty-two million, four hundred forty-two thousand, two hundred forty".